I'd like to see what sort of 'facts' are had that attempt to prove Star Wars is more popular than Star Trek. I'd venture to say they are about equal in popularity/recognition. If either one has a lead at all it is a slim one, certainly not "by a hell of a lot."
If you're talking about the original Star Trek and recognition, then, yeah, as many people know Spock as know Darth Vader, probably. But not as many people are willing to spend actual money on Star Trek.
There are facts to be had about the respective franchises. For example, Locus, the Time/Newsweek of the SF world, prints a variety of bestseller lists from various sources: one's from a selected group of SF bookstores, others are from more well-known bestseller lists. They break out the media-related books in some of the lists. Generally, four out of five will be Star Wars books and one will be a Halo novel. Once in a while a Star Trek pops in, but not nearly as regularly as used to happen.
Dayton's posted box office scores. People are willing to spend a lot more money to see Star Wars than Star Trek.
From Forbes, looking at toys and merchandise sales:
Star Wars: Total lifetime gross of about $9 billion, according to Lucasfilm, from companies including Kenner, General Mills and Hasbro
Star Trek: Total lifetime gross of about $4 billion from companies including Playmates Toys, Hallmark and Hasbro
Now, that's balancing all of Trek against Star Wars. If you're talking
Voyager, and that's where we started, you're talking something with a much lower profile.